What is the limit as x approaches infinity of 5x+1/x ?

The limit as x approaches infinity of 5x+1/x is infinity

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limit as x approaches infinity of 5x+1/x

x \to \infty lim (5 x + \frac{1}{x})

\infty

Solution steps

x \to \infty lim (5 x + \frac{1}{x})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to \infty lim (5 x) + x \to \infty lim (\frac{1}{x})

x \to \infty lim (5 x) = \infty

x \to \infty lim (\frac{1}{x}) = 0

= \infty + 0

Apply Infinity Property:

\infty + c = \infty

= \infty

\frac{\partial}{\partial x} (t^{2} + 4 x^{3})

\int - \frac{1}{3} cos (3 x) d x

\int \frac{2 x ^{2}}{3 - 4 x ^{3}} d x

- 2

\frac{d}{d x} (arctan (x y))

What is the limit as x approaches infinity of 5x+1/x ?
The limit as x approaches infinity of 5x+1/x is infinity